4506 ÷ 4 = 1126 R2
We're going to perform division on 4506 with 4 as the divisor.

Step 1:
4 goes into 4 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 4 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 4

Step 2:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 4 from 5 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 3:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 112
Subtract 8 from 10 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 4

Step 4:
4 goes into 26 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 1126
Subtract 24 from 26 to get 2.

The final result is 1126 with a remainder of 2.